Home / 1,232.72-1,849.56-463.04

Finding the Fourth Proportional to 1,232.72, 1,849.56 and 463.04

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Solution

The fourth proportional to 1,232.72, 1,849.56 and 463.04 is: 694.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.72 : 1,849.56 = 463.04 : x
  2. Step 2: Convert to fraction form
    1,232.72/1,849.56 = 463.04/x
  3. Step 3: Cross multiply
    1,232.72x = 1,849.56 × 463.04
  4. Step 4: Simplify right side
    1,232.72x = 856,420.26
  5. Step 5: Solve for x
    x = 856,420.26/1,232.72
  6. Step 6: Final answer
    x = 694.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.